32564034061020 has 288 divisors, whose sum is σ = 123396116014080. Its totient is φ = 6753098695680.

The previous prime is 32564034060979. The next prime is 32564034061043. The reversal of 32564034061020 is 2016043046523.

32564034061020 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 4 + 0 + 34 + 0 + 610 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4636096 + ... + 9307064.

It is an arithmetic number, because the mean of its divisors is an integer number (428458736160).

Almost surely, 2^{32564034061020} is an apocalyptic number.

32564034061020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32564034061020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61698058007040).

32564034061020 is an abundant number, since it is smaller than the sum of its proper divisors (90832081953060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32564034061020 is a wasteful number, since it uses less digits than its factorization.

32564034061020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671505 (or 4671500 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 32564034061020 in words is "thirty-two trillion, five hundred sixty-four billion, thirty-four million, sixty-one thousand, twenty".